2601 ÷ 9 = 289 R0
Alright, let's work through the division of 2601 by 9 step by step.

Step 1:
9 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 9

Step 2:
9 goes into 26 2 times with a remainder of 8.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 26 to get 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 9

Step 3:
9 goes into 80 8 times with a remainder of 8.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 72 from 80 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 9

Step 4:
9 goes into 81 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 289
Subtract 81 from 81 to get 0.

The final result is 289 with a remainder of 0.